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Finding the Fourth Proportional to 3,097.56, 4,648.74 and 1,637.16

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Solution

The fourth proportional to 3,097.56, 4,648.74 and 1,637.16 is: 2,457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.56 : 4,648.74 = 1,637.16 : x
  2. Step 2: Convert to fraction form
    3,097.56/4,648.74 = 1,637.16/x
  3. Step 3: Cross multiply
    3,097.56x = 4,648.74 × 1,637.16
  4. Step 4: Simplify right side
    3,097.56x = 7,610,731.18
  5. Step 5: Solve for x
    x = 7,610,731.18/3,097.56
  6. Step 6: Final answer
    x = 2,457.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.